10102210011010 has 64 divisors (see below), whose sum is σ = 19653199221600. Its totient is φ = 3716642672640.

The previous prime is 10102210011007. The next prime is 10102210011017. The reversal of 10102210011010 is 1011001220101.

It can be written as a sum of positive squares in 16 ways, for example, as 1529839975689 + 8572370035321 = 1236867^2 + 2927861^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10102210011017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62575354 + ... + 62736586.

Almost surely, 2^{10102210011010} is an apocalyptic number.

10102210011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102210011010 is a deficient number, since it is larger than the sum of its proper divisors (9550989210590).

10102210011010 is a wasteful number, since it uses less digits than its factorization.

10102210011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162983.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102210011010 its reverse (1011001220101), we get a palindrome (11113211231111).

The spelling of 10102210011010 in words is "ten trillion, one hundred two billion, two hundred ten million, eleven thousand, ten".